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AUTOMATICA
2010
122views more  AUTOMATICA 2010»
15 years 4 months ago
On the algebraic characterization of invariant sets of switched linear systems
In this paper, a suitable LaSalle principle for continuous-time linear switched systems is used to characterize invariant sets and their associated switching laws. An algorithm to...
Pierre Riedinger, Mario Sigalotti, Jamal Daafouz
AML
2005
104views more  AML 2005»
15 years 4 months ago
Weak theories of linear algebra
Abstract. We investigate the theories LA, LAP, LAP of linear algebra, which were originally defined to study the question of whether commutativity of matrix inverses has polysize F...
Neil Thapen, Michael Soltys
SODA
2010
ACM
202views Algorithms» more  SODA 2010»
16 years 1 months ago
Counting Inversions, Offline Orthogonal Range Counting, and Related Problems
We give an O(n lg n)-time algorithm for counting the number of inversions in a permutation on n elements. This improves a long-standing previous bound of O(n lg n/ lg lg n) that ...
Timothy M. Chan, Mihai Patrascu
SIGMOD
1997
ACM
134views Database» more  SIGMOD 1997»
15 years 8 months ago
Similarity-Based Queries for Time Series Data
We study similarity queries for time series data where similarity is defined in terms of a set of linear transformations on the Fourier series representation of a sequence. We ha...
Davood Rafiei, Alberto O. Mendelzon
CDC
2008
IEEE
143views Control Systems» more  CDC 2008»
15 years 11 months ago
On the use of numerical methods for analysis and control of nonlinear convective systems
Abstract— A common approach to designing feedback controllers for nonlinear partial differential equations (PDEs) is to linearize the system about an equilibrium and use the line...
Edward Allen, John A. Burns, David S. Gilliam